Which transformation was performed on PQRS to form P'QʻR'S'? (1 point)
1) A dilation factor of 2
2) A dilation factor of 4
3) A dilation factor of 1/2
4) A dilation factor of 1/4
Answers
Given:
A transformation was performed on PQRS to form P'QʻR'S'.
To find:
The transformation.
Solution:
The given graph shows two similar polygons. It means, dilation was performed.
From the given graph it is clear that,
[tex]PS=2[/tex] units
[tex]P'S'=1[/tex] units
Now,
[tex]\text{Scale factor}=\dfrac{P'S'}{PS}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{2}[/tex]
A dilation factor of [tex]\dfrac{1}{2}[/tex] was performed on PQRS to form P'QʻR'S'.
Therefore, the correct option is (3).
Related Questions
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answers
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?
Answers
Answer:
$303.24
Step-by-step explanation:
399.00x24%=95.76
399.00÷95.76=303.24
Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?
Answers
Answer:
2000
Step-by-step explanation:5%= 100 nickels
1%= 20 nickels
20 x 100 = 2000
Answer:
2,000
Step-by-step explanation:
If 5%=100 nickels , then 20x100=the number of nickels Chi has.
20x100=2,000
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answers
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation:
A Store charfes $0.20 per pound plus a set fee of $2 for ice.How many pounds of ice would somebody have brought if they paid $15
Answers
Answer:
65 pounds of ice
Step-by-step explanation:
15-2=13
13/0.2=65
find the coordinates for P in the diagram given r=4 and theta=7pi/6
(the diagram is an empty unit circle)
Answers
Answer: can you please set this up differently?????
Step-by-step explanation:
Write 7√5 using rational exponents.
Answers
Answer:
7*(5)^0,5
Step-by-step explanation:
The value of number 7√5 in form of rational exponents will be 1561/1000.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
The number is,
⇒ 7√5
Now,
Since, The number is,
⇒ 7√5
Solve as;
⇒ 7√5 = 7 × 2.23
= 15.61
= 1561/100
Thus, The value in rational exponents = 1561/1000
Learn more about the rational number visit:
https://brainly.com/question/12088221
#SPJ2
the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches
Answers
Answer:
b. 1 foot 5 inches
Step-by-step explanation:
because one foot is 12 inches
I need help with this ASAP
Answers
Answer:
it is D
since 6 percent of people infected by 10 day
Can someone give me the answer
Answers
Answer:
B=YZ/20A
Step-by-step explanation:
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
Answers
I need help with a geometry problem
Answers
#1
[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]
[tex]\\ \tt\hookrightarrow 2x=32[/tex]
[tex]\\ \tt\hookrightarrow x=16[/tex]
#2
[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]
[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 32x=192[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
How much is 92 quadrillion cents
Answers
URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.
On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.
Answers
Answer:
Lol its 8
Step-by-step explanation:
Ben's Sports sells golf tees from a barrel by the scoop. The golf tees come in 5 bright colors mixed in the barrel. To determine what to charge for each scoop, Ben weighed 15 scoops. The weight of each scoop is shown in the line plot below. Use the line plot to answer the questions.
Answers
Solve the inequality: -2z - 3 < 5
Answers
Answer:
z>-4
Step-by-step explanation:
Answer:
z>4
Step-by-step explanation:
-2z-3<5
add 3 to 5: -2z < 8
divide by -2: z < -4
but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4
Jessica and Mofor are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Jessica sold 7 apple pies and 6 lemon meringue pies for a total of $169.
Mofor sold 3 apple pies and 6 lemon meringue pies for a total of $141. Find the cost each of one
apple pie and one lemon meringue pie.
Answers
Answer
L=20 A=7
Step-by-step explanation:
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answers
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
skskksksks
Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answers
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7
Answers
____________________________
1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]- We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.
Equation at the end of Step 1:
[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]- We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.
Equation at the end of Step 2:
[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]- We do this because we need one number left over to get a simplified version of this equation.
Equation at the end of Step 3:
[tex]-24x-7[/tex]____________________________
Select that all apply.
Answers
Answer:
C. ASA E. AAS B. HA
Step-by-step explanation:
ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
AAS - If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.
HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.
Answer:
c.asa
Step-by-step explanation:
only C. asa tgat correct answer
I don't really get how to do this
Answers
Answer:
you got to put them in order like you got to figure out witch one is smaller then u keep going until u figure out the bigest.....
Step-by-step explanation:
Answer:
15.5, 16 and 1/4, 16.60, 16.7, 16 and 3/4, and 16.83.
Step-by-step explanation:
Hope it helps!
Find the rate of change
Answers
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.
What is the length of diagonal BD?
Answers
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
Which expression represents "4 times the sum of 3 and 7?
O A 4+7=
B 4x +7
OC 4G+7)
D. 704 + x)
Answers
Answer:
associative
Step-by-step explanation:
What are the coordinates of E??
Answers
Answer:
(10, 1)
Step-by-step explanation:
It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).
An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes
both those who own and those who rent their homes.
Level of Satisfaction
EEEE
High
Medium
Low
Total
Owners
26
34
18
78
Renters
15
12
5
22
Total
41
46
23
110
What proportion of those surveyed have low satisfaction with city services?
O 0.2091
O 0.2308
0.2644
O 0.3727
Save and Exit
Next
Submit
Answers
Answer:
A
Step-by-step explanation:
Not much of a reason but thats what i g ot
Answer:
a
Step-by-step explanation:
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax
Answers
Answer:
Amount of motorcycle = $11,500
Step-by-step explanation:
Given:
Tax rate = 12.5 % = 0.125
Amount of tax = $1,437.50
Find:
Amount of motorcycle
Computation:
Amount of motorcycle = [Amount of tax ] / Tax rate
Amount of motorcycle = [1,437.50] / 0.125
Amount of motorcycle = $11,500
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answers
Answer:
its C
Step-by-step explanation:
At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?
Answers
Answer:
$72
Step-by-step explanation:
$768/265 = $3
$3 x 24 = $72
Answer:
$72
Step-by-step explanation:
768/256 = how much each hot dog was sold for
768/256 = 3
Each hot dog was sold for $3.
24*3 = $72
Therefore, the cost of 24 hot dogs is $72.